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Orthonormal Compactly Supported Wavelets with Optimal Sobolev Regularity: Numerical Results

✍ Scribed by Harri Ojanen

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 64 KB
Volume: 10
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.2000.0329

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✦ Synopsis

Numerical optimization is used to construct new orthonormal compactly supported wavelets with a Sobolev regularity exponent as high as possible among those mother wavelets with a fixed support length and a fixed number of vanishing moments. The increased regularity is obtained by optimizing the locations of the roots the scaling filter has on the interval (π/2, π). The results improve those obtained by I.